The method of Lyapunov function and exponential stability of impulsive delay systems with delayed impulses (Q459969)
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scientific article; zbMATH DE number 6354310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of Lyapunov function and exponential stability of impulsive delay systems with delayed impulses |
scientific article; zbMATH DE number 6354310 |
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The method of Lyapunov function and exponential stability of impulsive delay systems with delayed impulses (English)
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13 October 2014
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Summary: We investigate the exponential stability of general impulsive delay systems with delayed impulses. By using the Lyapunov function method, some Lyapunov-based sufficient conditions for exponential stability are derived, which are more convenient to be applied than those Razumikhin-type conditions in the literature. Their applications to linear impulsive systems with time-varying delays are also proposed, and a set of sufficient conditions for exponential stability is provided in terms of matrix inequalities. Meanwhile, two examples are discussed to illustrate the effectiveness and advantages of the results obtained.
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